Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces: 72 (Developments in Mathematics, 72) - Hardcover

Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius

 
9783031059490: Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces: 72 (Developments in Mathematics, 72)

Synopsis

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations.

Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.

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From the Back Cover

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations.

Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9783031059513: Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces

Featured Edition

ISBN 10:  3031059514 ISBN 13:  9783031059513
Publisher: Springer, 2022
Softcover